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Finding the Third Proportional to 447,370 and 677,570

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Solution

The third proportional to 447,370 and 677,570 is: 1,026,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,370 : 677,570 = 677,570 : x
  2. Step 2: Convert to fraction form
    447,370/677,570 = 677,570/x
  3. Step 3: Cross multiply
    447,370x = 677,570 × 677,570
  4. Step 4: Simplify right side
    447,370x = 459,101,104,900
  5. Step 5: Solve for x
    x = 459,101,104,900/447,370
  6. Step 6: Final answer
    x = 1,026,222.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.